4(x+5)+4x=2(3x+4)

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Solution for 4(x+5)+4x=2(3x+4) equation:


Simplifying
4(x + 5) + 4x = 2(3x + 4)

Reorder the terms:
4(5 + x) + 4x = 2(3x + 4)
(5 * 4 + x * 4) + 4x = 2(3x + 4)
(20 + 4x) + 4x = 2(3x + 4)

Combine like terms: 4x + 4x = 8x
20 + 8x = 2(3x + 4)

Reorder the terms:
20 + 8x = 2(4 + 3x)
20 + 8x = (4 * 2 + 3x * 2)
20 + 8x = (8 + 6x)

Solving
20 + 8x = 8 + 6x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-6x' to each side of the equation.
20 + 8x + -6x = 8 + 6x + -6x

Combine like terms: 8x + -6x = 2x
20 + 2x = 8 + 6x + -6x

Combine like terms: 6x + -6x = 0
20 + 2x = 8 + 0
20 + 2x = 8

Add '-20' to each side of the equation.
20 + -20 + 2x = 8 + -20

Combine like terms: 20 + -20 = 0
0 + 2x = 8 + -20
2x = 8 + -20

Combine like terms: 8 + -20 = -12
2x = -12

Divide each side by '2'.
x = -6

Simplifying
x = -6

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